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Cindy Guichard

34
Documents

Publications

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Weighted positive nonlinear finite volume method for dominated anisotropic diffusive equations

Cindy Guichard , El Houssaine Quenjel
Advances in Computational Mathematics, 2022, 48, ⟨10.1007/s10444-022-09995-7⟩
Journal articles hal-03414953v2
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Convergence of numerical schemes for a conservation equation with convection and degenerate diffusion

Robert Eymard , Cindy Guichard , Xavier Lhébrard
Journal of Computational Mathematics -International Edition-, 2020, 39, pp.428-452. ⟨10.4208/jcm.2002-m2018-0287⟩
Journal articles hal-01939144v2
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Family of convergent numerical schemes for the incompressible Navier-Stokes equations

Robert Eymard , Pierre Feron , Cindy Guichard
Mathematics and Computers in Simulation, 2018, 144, pp.196-218. ⟨10.1016/j.matcom.2017.08.003⟩
Journal articles hal-01382924v2
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Discontinuous Galerkin gradient discretisations for the approximation of second-order differential operators in divergence form

Robert Eymard , Cindy Guichard
Computational & Applied Mathematics, 2018, 37 (4), pp.:4023-4054. ⟨10.1007/s40314-017-0558-2⟩
Journal articles hal-01535147v2
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Numerical analysis of a robust free energy diminishing Finite Volume scheme for parabolic equations with gradient structure

Clément Cancès , Cindy Guichard
Foundations of Computational Mathematics, 2017, 17 (6), pp.1525-1584. ⟨10.1007/s10208-016-9328-6⟩
Journal articles hal-01119735v4
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Layer-averaged Euler and Navier-Stokes equations

Marie-Odile Bristeau , Cindy Guichard , Bernard Di Martino , Jacques Sainte-Marie
Communications in Mathematical Sciences, 2017, ⟨10.4310/CMS.2017.v15.n5.a3⟩
Journal articles hal-01202042v3
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Gradient discretization of hybrid dimensional Darcy flows in fractured porous media

Konstantin Brenner , Mayya Groza , Cindy Guichard , Gilles Lebeau , Roland Masson
Numerische Mathematik, 2015, pp. 527-535. ⟨10.1007/s00211-015-0782-x⟩
Journal articles hal-01097704v2
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Convergence of a nonlinear entropy diminishing Control Volume Finite Element scheme for solving anisotropic degenerate parabolic equations

Clément Cancès , Cindy Guichard
Mathematics of Computation, 2015, 85 (298), pp.549-580. ⟨10.1090/mcom/2997⟩
Journal articles hal-00955091v1
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TP or not TP, that is the question

Robert Eymard , Thierry Gallouët , Cindy Guichard , Raphaèle Herbin , Roland Masson
Computational Geosciences, 2014, pp.18:285-296, 2014. ⟨10.1007/s10596-013-9392-9⟩
Journal articles hal-00801648v3
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Vertex Approximate Gradient Scheme for Hybrid Dimensional Two-Phase Darcy Flows in Fractured Porous Media

Konstantin Brenner , Mayya Groza , Cindy Guichard , Roland Masson
ESAIM: Mathematical Modelling and Numerical Analysis, 2014, pp.49 2 (2015) 303-330. ⟨10.1051/m2an/2014034⟩
Journal articles hal-00910939v3
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Gradient schemes for the Stefan problem

Robert Eymard , Pierre Féron , Thierry Gallouët , Raphaèle Herbin , Cindy Guichard
International Journal on Finite Volumes, 2013, Volume 10 special
Journal articles hal-00751555v1
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Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation

Robert Eymard , Cindy Guichard , Raphaèle Herbin , Roland Masson
Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2013, Volume 94, Issue 7-8, p. 560-585, July 2014. ⟨10.1002/zamm.201200206⟩
Journal articles hal-00740367v3
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ComPASS: a tool for distributed parallel finite volume discretizations on general unstructured polyhedral meshes

Eric Dalissier , Cindy Guichard , Pascal Have , Roland Masson , Chang Yang
ESAIM: Proceedings, 2013, CEMRACS 2012, 43, pp.147-163. ⟨10.1051/proc/201343010⟩
Journal articles hal-00781235v2
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Small-stencil 3D schemes for diffusive flows in porous media

Robert Eymard , Cindy Guichard , Raphaele Herbin
ESAIM: Mathematical Modelling and Numerical Analysis, 2012, 46, pp.265-290. ⟨10.1051/m2an/2011040⟩
Journal articles hal-00542667v2
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Vertex-centred discretization of multiphase compositional Darcy flows on general meshes

Robert Eymard , Cindy Guichard , Raphaele Herbin , Roland Masson
Computational Geosciences, 2012, 16 (4), pp.987 - 1005. ⟨10.1007/s10596-012-9299-x⟩
Journal articles hal-00706244v1
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Vertex centred Discretization of Two-Phase Darcy flows on General Meshes

Robert Eymard , Cindy Guichard , Raphaele Herbin , Roland Masson
ESAIM: Proceedings, 2012, 35, pp.59-78. ⟨10.1051/proc/201235004⟩
Journal articles hal-00706246v1
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Grid Orientation Effect in coupled Finite Volume Schemes

Robert Eymard , Cindy Guichard , Roland Masson
IMA Journal of Numerical Analysis, 2012, http://imajna.oxfordjournals.org/cgi/authordata?d=10.1093/imanum/drs016&k=929ef8d7. ⟨10.1093/imanum/drs016⟩
Journal articles hal-00623721v2
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Convergence of Finite Volume MPFA O type Schemes for Heterogeneous Anisotropic Diffusion Problems on General Meshes

Léo Agélas , Cindy Guichard , Roland Masson
International Journal on Finite Volumes, 2010, pp.volume 7 No 2
Journal articles hal-00340159v2
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DGM, an item of GDM

Robert Eymard , Cindy Guichard
FVCA 2017 - International Conference on Finite Volumes for Complex Applications VIII, 2017, Lille, France
Conference papers hal-01442922v1
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An error estimate for the approximation of linear parabolic equations by the Gradient Discretization Method

Jérôme Droniou , Robert Eymard , Thierry Gallouët , Cindy Guichard , Raphaele Herbin
FVCA 2017 - International Conference on Finite Volumes for Complex Applications VIII, 2017, Lille, France
Conference papers hal-01442921v1
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Gradient Schemes for incompressible steady Navier-Stokes problem

Robert Eymard , Pierre Feron , Cindy Guichard
MAMERN VI–2015: 6 th International Conference on Approximation Methods and Numerical Modelling in Environment and Natural Resources, Université de Pau, Jun 2015, Pau, France
Conference papers hal-01133268v1
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Vertex Approximate Gradient Scheme for Hybrid Dimensional Two-Phase Darcy Flows in Fractured Porous Media

Konstantin Brenner , Mayya Groza , Cindy Guichard , Roland Masson
The International Symposium of Finite Volumes for Complex Applications VII, Jun 2014, Berlin, Germany
Conference papers hal-01313353v1
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High Performance Computing linear algorithms for two-phase flow in porous media

Robert Eymard , Cindy Guichard , Roland Masson
FVCA7 - The International Symposium of Finite Volumes for Complex Applications VII, Jun 2014, Berlin, Germany. ⟨10.1007/978-3-319-05591-6_55⟩
Conference papers hal-00958131v1
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Uniform-in-time convergence of numerical schemes for Richards' and Stefan's models

Jérôme Droniou , Robert Eymard , Cindy Guichard
FVCA7 - The International Symposium of Finite Volumes for Complex Applications VII, Jun 2014, Berlin, Germany. ⟨10.1007/978-3-319-05684-5_23⟩
Conference papers hal-00949677v1
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Gradient Discretization of Hybrid Dimensional Darcy Flows in Fractured Porous Media

Konstantin Brenner , Mayya Groza , Cindy Guichard , Gilles Lebeau , Roland Masson
FVCA7 The International Symposium of Finite Volumes for Complex Applications VII, Jun 2014, Berlin, Germany
Conference papers hal-01313351v1

Comparison of a Finite Element Method and a Finite Volume Method for Flow on General Grids in 3D

H. Haegland , I. Aavatsmark , Cindy Guichard , Roland Masson , R. Kaufmann
ECMOR XIII - 13th European Conference on the Mathematics of Oil Recovery, Sep 2012, Biarritz, France. ⟨10.3997/2214-4609.20143222⟩
Conference papers hal-01238554v1

Vertex-centred Discretization of Multiphase Compositional Darcy Flows on General Meshes

Cindy Guichard , Robert Eymard , Raphaele Herbin , Roland Masson , P Samier
ECMOR XIII - 13th European Conference on the Mathematics of Oil Recovery, Sep 2012, Biarritz, France. ⟨10.3997/2214-4609.20143221⟩
Conference papers hal-01238550v1

Multiphase Flow in Porous Media Using the VAG Scheme

Robert Eymard , Cindy Guichard , Raphaele Herbin , Roland Masson
Finite Volumes for Complex Applications VI Problems & Perspectives, Jun 2011, Prague, Czech Republic. pp.409-417, ⟨10.1007/978-3-642-20671-9_43⟩
Conference papers hal-01238557v1

Grid Orientation Effect and MultiPoint Flux Approximation

Robert Eymard , Cindy Guichard , Roland Masson
Finite Volumes for Complex Applications VI Problems & Perspectives, Jun 2011, Prague, Czech Republic. pp.419-427, ⟨10.1007/978-3-642-20671-9_44⟩
Conference papers hal-01238560v1
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Error estimates for the gradient discretisation of degenerate parabolic equation of porous medium type

Clément Cancès , Jérôme Droniou , Cindy Guichard , Gianmarco Manzini , Manuela Bastidas Olivares
Daniele A. Di Pietro; Roland Masson; Luca Formaggia. Polyhedral methods in geosciences, 27, Springer; Springer International Publishing, pp.37-72, 2021, SEMA-SIMAI, ⟨10.1007/978-3-030-69363-3_2⟩
Book sections hal-02540067v1
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The gradient discretisation method

Jérôme Droniou , Robert Eymard , Thierry Gallouët , Cindy Guichard , Raphaele Herbin
Springer International Publishing AG, 82, 2018, Mathématiques et Applications, M. Hoffmann et V. Perrier, 978-3-319-79042-8. ⟨10.1007/978-3-319-79042-8⟩
Books hal-01382358v8